Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) pdf epub mobi txt 电子书下载 2024

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Peter Topping

Cambridge University Press

2006-11-06

113

USD 45.00

Paperback

London Mathematical Society Lecture Note Series

9780521689472

图书标签: the on Ricci Lectures Flow 数学微分几何7

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发表于2024-11-22

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) pdf epub mobi txt 电子书下载 2024

图书描述

Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincaré conjecture and Thurston's geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman's breakthroughs from 2002/2003. After describing the basic properties of, and intuition behind the Ricci flow, core elements of the theory are discussed such as consequences of various forms of maximum principle, issues related to existence theory, and basic properties of singularities in the flow. A detailed exposition of Perelman's entropy functionals is combined with a description of Cheeger-Gromov-Hamilton compactness of manifolds and flows to show how a 'tangent' flow can be extracted from a singular Ricci flow. Finally, all these threads are pulled together to give a modern proof of Hamilton's theorem that a closed three-dimensional manifold which carries a metric of positive Ricci curvature is a spherical space form.

Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) 下载 mobi epub pdf txt 电子书